Ill-posedness of the Camassa–Holm and related equations in the critical space-Reference-Cited by-同舟云学术

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Ill-posedness of the Camassa–Holm and related equations in the critical space

Published:2019-01 Issue:2-3 Volume:266 Page:1698-1707
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Guo Zihua,Liu Xingxing,Molinet Luc,Yin Zhaoyang

Funder

ARC

Fundamental Research Funds for the Central Universities

NSFC

FDCT

Guangdong Special Support Program

NSF of Guangdong Province

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference26 articles.

1. Strong ill-posedness of the incompressible Euler equation in borderline Sobolev spaces;Bourgain;Invent. Math.,2015

2. Strong ill-posedness of the incompressible Euler equation in integer Cm spaces;Bourgain;Geom. Funct. Anal.,2015

3. Global conservative solutions of the Camassa–Holm equation;Bressan;Arch. Ration. Mech. Anal.,2007

4. Global dissipative solutions of the Camassa–Holm equation;Bressan;Anal. Appl.,2007

5. Existence time for the Camassa–Holm equation and the critical Sobolev index;Byers;Indiana Univ. Math. J.,2006

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1. Global well-posedness, blow-up phenomenon and ill-posedness for the hyperbolic Keller-Segel equations;Journal of Differential Equations;2024-12

2. Martingale solution of the stochastic Camassa–Holm equation with pure jump noise;Stochastic Processes and their Applications;2024-10

3. Ill-posedness for the Camassa–Holm equation in $$B_{p,1}^{1}\cap C^{0,1}$$;Analysis and Mathematical Physics;2024-08

4. Non-uniform dependence on initial data for the Camassa–Holm equation in Besov spaces: Revisited;Journal of Differential Equations;2024-05

5. Modulation Analysis of the Stochastic Camassa–Holm Equation with Pure Jump Noise;Journal of Nonlinear Science;2024-04-28

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